I'll go in the opposite direction and say a place like Notre Dame, where all students have several of the same core requirements might be a good choice.
That way, freshmen year, the classes she takes will count no matter what she ends up majoring in. Obviously, if she may want to be an engineer, she better take the high level math course as her math course, for example, but at least it still fulfills her first year of studies requirements even if she ends up being an art major.